Cohen-Macaulay and Gorenstein tangential varieties of the Segre-Veronese Varieties
M. Azeem Khadam, Martin Vodi\v{c}ka
TL;DR
This paper classifies the tangential varieties of Segre-Veronese varieties based on their Cohen-Macaulay and Gorenstein properties, providing a detailed algebraic geometric analysis.
Contribution
It offers a complete classification of Cohen-Macaulay and Gorenstein tangential varieties of Segre-Veronese varieties, a novel algebraic geometric result.
Findings
Identified conditions for Cohen-Macaulay tangential varieties.
Determined when tangential varieties are Gorenstein.
Provided explicit classifications for these properties.
Abstract
We classify the tangential varieties of the Segre-Veronese varieties which are Cohen-Macaulay or Gorenstein.
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Taxonomy
TopicsTensor decomposition and applications · Phytoestrogen effects and research · Commutative Algebra and Its Applications